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204 COMMENTARIA ANTIQUA. QV(p7iv elvttL £7tL(pav£âg rj inl rrjg xdrcj dixîg rj £0c3r£QGi rov xvTckov 7] £^(or£Q(D. det dl i(pL0rccv£LV, ori rovro rb ^'^(OQriâ £VQL6x£raL £v rLOLv avrLyQa- (poig oXov dia rr^g elg advvarov ajcayc^yrjg d£d£Ly- 5 fiivov. Eig rb y\ Tb y' dêcoQrjâ nrcoOLv ovk £%£l. d£t dh iv avra i7iL0rrJ6aL, OTi ri AB £v%^£i(x. i(5rL dLcc rb xoLvrj to/lh^ £lvaL rov rifivovrog iTtLJtidov xal rfjg i7tL(pav£Lag toi' 10 TKovov^ r^rLg vTtb ^vd^^Cag iyQcc(prj rb itiQag ixov6rjg îvov TtQbg rfj KOQV(pfj rrjg £7tL(pav£Lag. ov yaQ 7td6a £7tL(pdv£La V7tb £7tL7tidov r£^voîvr} rrjv ro^rjv 7toL£t ^vd^^tav, ovd£ avrbg 6 xcovog, £l ^rj dLCC T^g xoQVcprig iXd-rj t6 ri^vov £7tL7t£dov. 15 Eig t6 d\ Ai 7trco6£Lg Tot^Tot» rov d^^coQijfiarog rQ£Lg £C6lv &67t£Q xal Toi) TtQcarov xal d£vriQov. Eig rb £\ Tb Tti^Ttrov d-^coQrjâ 7tra6Lv ovx £X£l. aQXOêvog 20 d£ rrjg hxd-i^ôog (prj^LV' r^r^TJ^d^G) 6 xcovog £7tL- 7tidco dtd Tov aôvog oQd^S 7tQbg rrjv pd6LV, £7t£Ldrj d£ £v Tco 6KalrivS xcovco xard ^Cav ôvov dî^LV t6 dLa Toi; dôvog rQCycovov 6q%^6v £6rL 7tQbg rrjv pd6LV, rovro 7tOLi]6o^£v ot^Tog* Xapbvreg rb niv- 25 Tôv rrjg pd6ecog dva6rri6oiiev aTt avrov rS e7tL7tid(p rijg pdoecog 7tQbg bQd^dg xal dt' avrfjg xal rov dôvog expdXlovreg e7tC7tedov €%o^£v rb ^rjrov(i£vov' did£LxraL 7. Ssc] e corr. p. Post ds del. 17 AB sv&sid sazi p. 8. icTiv W. 17. nat (pr.)] at p. 18. Elg ro] mg.
EUTOCII COMMENTARIA IN CONICA. 205 in inferiore sunt et quidem duobus niodis, aut intra circulum aut extra. animaduertendum autem, hanc propositionem in nonnullis exemplaribus totam per reductionem in absurdum demonstratam inueniri. Ad prop. III. Propositio tertia casum non habet. in ea autem animaduertendum est, j4B rectam esse, quia communis est sectio plani secantis et superficiei coni, <strong>quae</strong> a recta descripta est terminum ad uerticem superficiei manentem habente. neque enim omnis superficies plano secta sectionem efficit rectam, nec ipse conus, nisi planum secans per uerticem uenit. Ad prop. IV. Casus huius propositionis tres sunt ut etiam primae et secundae. Ad prop. V. Propositio quinta casum non habet. expositionem autem exordiens dicit [Ip. 18, 4]: per axem secetur plano ad basim perpendiculari. quoniam autem in cono obliquo triangulus per axem positus in una sola positione ad basim perpendicularis est, hoc ita efficiemus: sumpto centro basis ab eo rectam ad planum basis perpendicularem erigemus et per eam axemque ducto plano habebimus, quod <strong>quae</strong>ritur; nam in XI. libro Elementorum Euclidis [XI, 18] demonstratum m. 1 W. 21. ft|ovos] corr. ex a|covog m. 1 W. 23. iativ W. 24. ovttos] ovtay in extr. lin. W, ovtco p.
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(D s APOLLONIl PERGAEI QUAE GEAECE
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PEAEFATIO. Praeter librum lY Conico
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AB PRAEFATIO. V 3. cod. Paris. Gr.
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PRAEFATIO. VII II p. 306, 2 A, B] A
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; PRAEFATIO. IX pro nACGON, p. 202,
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PROLEGOMENA. Cap. I. De codieibus C
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PROLEGOMENA. XIII Apollonii Conic.
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PROLEGOMENA. XV codicum illorum XXV
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: PROLEGOMENA. XVH in Galliam cum c
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PROLEGOMENA. XIX i-n — om., ov 8i
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p. 74, 15 AHT] ABF PROLEGOMENA. LII
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FRAGMENTA.
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